105464107 has 16 divisors (see below), whose sum is σ = 128571840. Its totient is φ = 84446208.

The previous prime is 105464101. The next prime is 105464111. The reversal of 105464107 is 701464501.

It is not a de Polignac number, because 105464107 - 2⁷ = 105463979 is a prime.

It is a super-2 number, since 2×105464107² = 22245355730614898, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105464101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13069 + ... + 19537.

It is an arithmetic number, because the mean of its divisors is an integer number (8035740).

Almost surely, 2^105464107 is an apocalyptic number.

105464107 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

105464107 is a deficient number, since it is larger than the sum of its proper divisors (23107733).

105464107 is a wasteful number, since it uses less digits than its factorization.

105464107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6630.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 105464107 is about 10269.5718995487. The cubic root of 105464107 is about 472.4634604966.

The spelling of 105464107 in words is "one hundred five million, four hundred sixty-four thousand, one hundred seven".